Definition Kite is quadrilateral with consecutive sides that are congruent *Indicated pairs of consecutive sides in the following orientation of kite
Properties Diagonal Properties 1. One diagonal bisects the other *Indicated diagonal in the following orientation of kite
2.Diagonals are perpendicular to each other This is the most important property of a kite for the following reasons: - Knowing that these angles (formed by intersection of the diagonals ) are 90 degrees, congruence of consecutive triangles (Triangle KIA & Triangle TIA, Triangle EKA & Triangle ETA) can be proved using CPCTC
- Knowing that these angles are 90 degrees can partially help find side measures in relation to base angle measurements
Angle Properties 1. One pair of opposite angles is congruent *Applies to indicated pairs of opposite sides in the following orientation of the kite Example Proof
Prove: Angle IKE is congruent to Angle ITE
2. Consecutive triangles formed by the diagonals are congruent *Indicated pairs of consecutive triangles in the following orientation of kite
Example Proof
Prove: Triangle RAT is congruent to Triangle CAE
Kite is quadrilateral with consecutive sides that are congruent
*Indicated pairs of consecutive sides in the following orientation of kite
Properties
Diagonal Properties
1. One diagonal bisects the other
*Indicated diagonal in the following orientation of kite
2. Diagonals are perpendicular to each other
This is the most important property of a kite for the following reasons:
- Knowing that these angles (formed by intersection of the diagonals ) are 90 degrees, congruence of consecutive triangles (Triangle KIA & Triangle TIA, Triangle EKA & Triangle ETA) can be proved using CPCTC
- Knowing that these angles are 90 degrees can partially help find side measures in relation to base angle measurements
Angle Properties
1. One pair of opposite angles is congruent
*Applies to indicated pairs of opposite sides in the following orientation of the kite
Example Proof
Prove: Angle IKE is congruent to Angle ITE
2. Consecutive triangles formed by the diagonals are congruent
*Indicated pairs of consecutive triangles in the following orientation of kite
Example Proof
Prove: Triangle RAT is congruent to Triangle CAE